|
ABSTRACT
The small parsimony problem is studied for reconstructing recombination networks from sequence data. The small parsimony problem is polynomial-time solvable for phylogenetic trees. However, the problem is proved NP-hard even for galled recombination networks. A dynamic programming algorithm is also developed to solve the small parsimony problem. It takes $O(dn2^{3h})$ time on an input recombination network over length-$d$ sequences in which there are $h$ recombination and $n - h$ tree nodes.
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
| |
1
|
G. Bourque and L.X. Zhang, “Models and Methods in Comparative Genomics,” Advances in Computer Science, vol. 68, pp. 59-104, 2006.
|
| |
2
|
C. Choy, J. Jansson, K. Sadakane, and W.-K. Sung, “Computing the Maximum Agreement of Phylogenetic Networks,” Theoretical Computer Science, vol. 335, pp. 93-107, 2005.
|
| |
3
|
W.F. Doolittle, “Phylogenetic Classification and the Universal Tree,” Science, vol. 284, pp. 2124-2129, 1999.
|
| |
4
|
W.M. Fitch, “Toward Defining the Course of Evolution: Minimum Change for Specific Tree Topology,” J. Zoological System, vol. 20, pp. 406-416, 1971.
|
| |
5
|
D. Gusfield and V. Bansal, “A Fundamental Decomposition Theory for Phylogenetic Networks and Incompatible Characters,” Proc. RECOMB '05, pp. 217-232, 2005.
|
| |
6
|
D. Gusfield, S. Eddhu, and C. Langley, “Optimal, Efficient Reconstruction of Phylogenetic Networks with Constrained Recombination,” J. Bioinformatics and Computational Biology, vol. 2, no. 1, pp. 173-213, 2004.
|
| |
7
|
D. Gusfield, S. Eddhu, and C. Langley, “The Fine Structure of Galls in Phylogenetic Networks,” Informs J. Computing, vol. 16, no. 4, pp. 459-469, 2004.
|
| |
8
|
J. Hein, “Reconstructing the History of Sequences Subject to Gene Conversion and Recombination,” Math. Bioscience, vol. 98, pp. 185-200, 1990.
|
| |
9
|
J. Hein, “A Heuristic Method to Reconstruct the History of Sequences Subject to Recombination,” J. Molecular Evolution, vol. 20, pp. 402-411, 1993.
|
| |
10
|
J. Huang, N. Mullapudi, T. Sicheritz-Ponten, and J.C. Kissinger, “A First Glimpse into the Pattern and Scale of Gene Transfer in Apicomplexa,” Int'l J. Parasitology, vol. 34, no. 3, pp. 265-74, 2004.
|
| |
11
|
D.H. Huson et al., “Reconstruction of Reticulate Networks from Gene Trees,” Lecture Notes in Computer Science vol. 3500, pp. 233-249, 2005.
|
| |
12
|
D.H. Huson, T. Dezulian, T. Klopper, and M. Steel, “Phylogenetic Super-Networks from Partial Trees,” IEEE Trans. Computational Biology and Bioinformatics, vol. 1, pp. 151-158, 2004.
|
| |
13
|
D.H. Huson and T.H. Kloepper, “Computing Recombination Networks from Binary Sequences,” Bioinformatics, vol. 21, supplement ii, pp. ii159-ii165, 2005.
|
| |
14
|
T.N.D. Huynh, J. Jansson, N.B. Nguyen, and W.-K. Sung, “Constructing a Smallest Refining Galled Phylogenetic Network,” Lecture Notes in Computer Science, vol. 3500, pp. 265-280, 2005.
|
| |
15
|
J. Jansson, N.B. Nguyen, and W.-K. Sung, “Algorithms for Combining Rooted Triplets into a Galled Phylogenetic Network,” Proc. ACM-SIAM Symp. Discrete Algorithms (SODA '05), pp. 349-358, 2005.
|
| |
16
|
J.G. Lawrence and H. Ochman, “Reconciling the Many Faces of Lateral Gene Transfer,” Trends Microbiology, vol. 10, pp. 1-4, 2002.
|
| |
17
|
D.A. Morrison, “Networks in Phylogenetic Analysis: New Tools for Population Biology,” Int'l J. Parasitology, vol. 35, no. 5, pp. 567-82, 2005.
|
| |
18
|
L. Nakhleh et al., “Reconstructing Phylogenetic Networks Using Maximum Parsimony,” Proc. 2005 IEEE Computational Systems Bioinformatics Conf., pp. 93-102, 2005.
|
| |
19
|
L. Nakhleh et al., “Reconstructing Reticulate Evolution in Species —Theory and Practice,” J. Computational Biology, vol. 12, pp. 796-811, 2005.
|
| |
20
|
K.E. Nelson et al., “Evidence for Lateral Gene Transfer between Archaea and Bacteria from Genome Sequence of Thermotoga Maritima,” Nature, vol. 27, pp. 323-329, 1999.
|
| |
21
|
M. Nordborg and S. Tavaré, “Linkage Disequilibrium: What History Has to Tell Us,” Trends in Genetics, vol. 18, pp. 83-90, 2002.
|
| |
22
|
L.S. Wang, K.Z. Zhang, and L.X. Zhang, “Perfect Phylogenetic Networks with Recombination,” J. Computational Biology, vol. 8, no. 1, pp. 69-78, 2001.
|
INDEX TERMS
Primary Classification:
J.
Computer Applications
J.3
LIFE AND MEDICAL SCIENCES
Subjects:
Biology and genetics
Additional Classification:
F.
Theory of Computation
F.1
COMPUTATION BY ABSTRACT DEVICES
F.1.3
Complexity Measures and Classes
Subjects:
Reducibility and completeness
G.
Mathematics of Computing
G.2
DISCRETE MATHEMATICS
G.2.2
Graph Theory
Subjects:
Trees
I.
Computing Methodologies
I.1
SYMBOLIC AND ALGEBRAIC MANIPULATION
I.1.2
Algorithms
Subjects:
Analysis of algorithms
I.2
ARTIFICIAL INTELLIGENCE
I.2.8
Problem Solving, Control Methods, and Search
Subjects:
Dynamic programming
General Terms:
Algorithms,
Design,
Performance,
Theory
Keywords:
combination network,
phylogenetic network,
parsimony method,
NP-hardness,
approximability,
dynamic programming
|